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Finding the Fourth Proportional to 287,387.64, 396,607.12 and 160,063.20

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Solution

The fourth proportional to 287,387.64, 396,607.12 and 160,063.20 is: 220,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,387.64 : 396,607.12 = 160,063.20 : x
  2. Step 2: Convert to fraction form
    287,387.64/396,607.12 = 160,063.20/x
  3. Step 3: Cross multiply
    287,387.64x = 396,607.12 × 160,063.20
  4. Step 4: Simplify right side
    287,387.64x = 63,482,204,769.98
  5. Step 5: Solve for x
    x = 63,482,204,769.98/287,387.64
  6. Step 6: Final answer
    x = 220,894.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.